Applied Mathematics

Asymptotic Behavior of Dynamical Systems in Fluid Mechanics

By Eduard Feireisl and Dalibor Pražák

ISBN-10: 1-60133-002-2

ISBN-13: 978-1-60133-002-4

This book is a research monograph, intending to expose recent topics in mathematical fluid dynamics. Emphasis is put on the dynamical aspects of the problem, and in particular, on the qualitative analysis of the large time behavior of studied equations.

The topics and problems covered include:

compressible Fourier-Navier-Stokes system
incompressible (generalized) Navier-Stokes-Fourier system
fluids with pressure-dependent viscosities
asymptotic boundedness and blow up of solutions
stabilization to equilibria
construction of global and exponential attractors
estimates of attractor dimension

Book Order Information
Contents                      Author Bio.

The book can appeal to a wider audience by exposing a working application of a number of nontrivial mathematical techniques, some of which include:

renormalized solutions
compensated compactness
div-curl lemma
Fourier multipliers
Young measures
theory of innite-dimensional dynamical systems
Lyapunov exponents
method of trajectories
compactness in Bochner spaces

To View /Download  Contents and Chapter1 (Introduction)

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